Answer:
Average velocity is 0.296 m/s.
Average speed is 4.0 m/s.
Explanation:
Given:
Distance of the circular track is, [tex]D=400.0\ m[/tex]
Number of laps ran is, [tex]n=5.4[/tex]
Time taken for the run is, [tex]t=540\ s[/tex]
Now, total distance covered in 5.4 laps = [tex]D_T=D\times n=400\times 5.4=2160\ m[/tex]
Also, since the path is a circle, the final position of the athlete after 5.4 laps will be 0.4 of 400 m ahead of the starting point.
Distance covered in 0.4 laps is, [tex]\textrm{Displacemet}=0.4\times 400=160\ m[/tex]
Therefore, the displacement of the athlete will be 160 m as the athlete is 160 m ahead of the starting point and displacement depends on the initial and final points only.
Now, average velocity is given as:
[tex]v_{avg}=\frac{\textrm{Displacemet}}{t}=\frac{160}{540}=0.296\ m/s[/tex]
Average speed is the ratio of total distance covered to total time taken.
So, average speed = [tex]\frac{D_T}{t}=\frac{2160}{540}=4\ m/s[/tex]
